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Finding the Third Proportional to 766,448 and 1,612,272

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Solution

The third proportional to 766,448 and 1,612,272 is: 3,391,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,448 : 1,612,272 = 1,612,272 : x
  2. Step 2: Convert to fraction form
    766,448/1,612,272 = 1,612,272/x
  3. Step 3: Cross multiply
    766,448x = 1,612,272 × 1,612,272
  4. Step 4: Simplify right side
    766,448x = 2,599,421,001,984
  5. Step 5: Solve for x
    x = 2,599,421,001,984/766,448
  6. Step 6: Final answer
    x = 3,391,516.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.